# 14 23 27 triangle

### Obtuse scalene triangle.

Sides: a = 14   b = 23   c = 27

Area: T = 160.997689438
Perimeter: p = 64
Semiperimeter: s = 32

Angle ∠ A = α = 31.232225881° = 31°13'56″ = 0.54551057491 rad
Angle ∠ B = β = 58.41218644948° = 58°24'43″ = 1.01994793577 rad
Angle ∠ C = γ = 90.35658766952° = 90°21'21″ = 1.57770075469 rad

Height: ha = 232.99955634
Height: hb = 143.9997299461
Height: hc = 11.926569588

Median: ma = 24.08331891576
Median: mb = 18.17327818454
Median: mc = 13.42657215821

Inradius: r = 5.03111529494
Circumradius: R = 13.55002604142

Vertex coordinates: A[27; 0] B[0; 0] C[7.33333333333; 11.926569588]
Centroid: CG[11.44444444444; 3.975523196]
Coordinates of the circumscribed circle: U[13.5; -0.08438525492]
Coordinates of the inscribed circle: I[9; 5.03111529494]

Exterior(or external, outer) angles of the triangle:
∠ A' = α' = 148.768774119° = 148°46'4″ = 0.54551057491 rad
∠ B' = β' = 121.5888135505° = 121°35'17″ = 1.01994793577 rad
∠ C' = γ' = 89.64441233048° = 89°38'39″ = 1.57770075469 rad

# How did we calculate this triangle?

Now we know the lengths of all three sides of the triangle and the triangle is uniquely determined. Next we calculate another its characteristics - same procedure as calculation of the triangle from the known three sides SSS. ### 1. The triangle circumference is the sum of the lengths of its three sides ### 2. Semiperimeter of the triangle ### 3. The triangle area using Heron's formula ### 4. Calculate the heights of the triangle from its area. ### 5. Calculation of the inner angles of the triangle using a Law of Cosines ### 6. Inradius ### 7. Circumradius ### 8. Calculation of medians #### Look also our friend's collection of math examples and problems:

See more informations about triangles or more information about solving triangles.